The three-toed sloth is the slowest moving land mammal. On the ground, the sloth moves at an average speed of 0.0330 m/s, considerably slower than the giant tortoise, which walks at 0.0800 m/s. After 10.2 minutes of walking, how much further would the tortoise have gone relative to the sloth?
10.2 * 60 = 612 seconds
sloth distance = .033 * 612
tortoise distance = .08*612
now subtract
To find out how much further the tortoise would have gone relative to the sloth, we need to calculate the distance each animal would have traveled after 10.2 minutes.
First, let's calculate the distance covered by the sloth:
Speed of the sloth = 0.0330 m/s
Time = 10.2 minutes = 10.2 * 60 seconds = 612 seconds
Distance covered by the sloth = Speed × Time
Distance covered by the sloth = 0.0330 m/s × 612 seconds
Now, let's calculate the distance covered by the tortoise:
Speed of the tortoise = 0.0800 m/s
Time = 10.2 minutes = 10.2 * 60 seconds = 612 seconds
Distance covered by the tortoise = Speed × Time
Distance covered by the tortoise = 0.0800 m/s × 612 seconds
Now we can find the difference in distance covered by the tortoise and the sloth:
Difference in distance = Distance covered by the tortoise - Distance covered by the sloth
Calculating the distance covered by the sloth:
Distance covered by the sloth = 0.0330 m/s × 612 seconds = 20.196 meters
Calculating the distance covered by the tortoise:
Distance covered by the tortoise = 0.0800 m/s × 612 seconds = 48.96 meters
Calculating the difference in distance:
Difference in distance = 48.96 meters - 20.196 meters = 28.764 meters
Therefore, the tortoise would have gone 28.764 meters further than the sloth after 10.2 minutes.
To determine how much further the tortoise would have gone relative to the sloth, we need to calculate the distance covered by each animal in the given time.
First, let's convert the time from minutes to seconds:
10.2 minutes = 10.2 × 60 = 612 seconds
Now let's calculate the distance covered by each animal:
Distance covered by the sloth = sloth's speed × time
= 0.0330 m/s × 612 s
= 20.196 m
Distance covered by the tortoise = tortoise's speed × time
= 0.0800 m/s × 612 s
= 48.96 m
Now we can find how much further the tortoise would have gone relative to the sloth:
Difference in distance = Distance covered by the tortoise - Distance covered by the sloth
= 48.96 m - 20.196 m
= 28.764 m
So, the tortoise would have gone 28.764 meters further than the sloth in 10.2 minutes.